Preface | p. v |
Introduction | p. 1 |
The Main Equations and Approaches to Solutions of the Problems in Rarefied Gas Dynamics | p. 23 |
The Main Equations in Rarefied Gas Dynamics | p. 23 |
The Main Approaches to the Construction of Statistical Algorithms | p. 25 |
Connection of the Stationary Modeling with the Solution of Equation | p. 26 |
Construction of the Method of Direct Statistical Modeling | p. 28 |
Development of the Numerical Methods of Solution of the Linear Kinetic Equations | p. 30 |
The Perfection of VGK Method (Vlasov, Gorelov, Kogan) | p. 30 |
Modification of the Vlasov's Method for the Solution of Linear Problems | p. 35 |
Method of Solution of the Linearized Boltzmann's Equation | p. 38 |
Methods of Solution of the Nonlinear Problems in Rarefied Gas Dynamics | p. 43 |
Method of Solution of the Model Equation Based on a Stationary Modeling | p. 43 |
The Possibilities of the Scheme of Splitting for the Solution of Kinetic Equations | p. 46 |
Increase of the Method's Rate of Convergence | p. 52 |
Method by Belotserkovskii and Yanitskii | p. 54 |
Modeling of the Flow of Continuous Media | p. 58 |
Procedure of the Monte Carlo Methods for Modeling the Flows of Rarefied Gas and Continuous Medium | p. 58 |
Method "Relaxation-Transfer" for a Solution of the Problems of Gas Dynamics in the Wide Range of the Degree of Rarefaction of a Medium (see Kogan et al.83) | p. 62 |
Modeling of the Flows of Nonviscous Perfect Gas | p. 66 |
Solution of the Navier-Stokes Equations (Petrov133-139) | p. 72 |
Formulation of the Problem, Initial and Boundary Conditions for the Navier-Stokes Equations in the Form by Helmholtz | p. 72 |
The General Properties of the Vertical Flow Arising by the Instantaneous Start of a Body from the State of Rest | p. 74 |
Initial Conditions for the Problem of the Instantaneous Start of a Body in a Viscous Fluid | p. 78 |
The General Algorithm of the Numerical Solution of an Initial-Boundary Problem for the Navier-Stokes Equations in the form by Helmholtz | p. 80 |
Solution of the Cauchy Problem for the Fokker-Plank Equation at Small Interval of Time | p. 88 |
The Numerical Solution of the Fokker-Plank Equation by the Method of Direct Statistical Modeling | p. 95 |
Studies of the Weakly Perturbed Flows of Rarefied Gas | p. 103 |
Determination of the Velocity of Slip | p. 103 |
Solution of the Problem of the Feeble Evaporation (Condensation) from the Plane Surface (see Korovkin, Khlopko104) | p. 106 |
The Slow Motion of a Sphere in Rarefied Gas (Brownian Motion) | p. 108 |
The Coefficient of Diffusion and the Mean Shifting of a Brownian Particle in the Rarefied Gas (see Khlopkov106) | p. 110 |
Study of the Flows About Different Bodies in Transitional Regime | p. 114 |
Flows About the Planar Bodies | p. 115 |
Flows About Axisymmetrical Bodies | p. 119 |
Influence of the Evaporation (Condensation) on the Aerodynamical Resistance of a Sphere by the Supersonic Flow About It | p. 125 |
Computation of the Steady Regime of a Flow About a Body and of the Profile Resistance in a Viscous Gas (See A.S. Petrov) | p. 128 |
Determination of the Aerodynamical Characteristics of the Returnable Space Systems (RSS) | p. 138 |
Methodics of the Description of a Surface | p. 138 |
Methodics of Calculation of the Aerodynamical Characteristics of the Flying Apparatus in the Conditions of a Free-Molecular Flow | p. 142 |
The Engineering Methodics of the Computation of Aerodynamical Characteristics of the Bodies of Complicated Form in a Transitional Regime (see Galkin, Eropheev, Tolstykh85) | p. 143 |
The Results of the Flow About a Hypersonic Flying Apparatus "Clipper" (see Voronich, Zey Yar225) | p. 145 |
The Flow About Blunted Bodies with the Addition of Heat (see Vorovich, Moiseev) | p. 165 |
The Main Features of a Method | p. 165 |
Description of the Algorithm | p. 167 |
The Approximational Properties | p. 170 |
The Algorithm and the Nets | p. 172 |
Direct Statistical Modeling of the Inviscid Flows About Blunted Bodies by the Presence of Energy Addition | p. 175 |
The General Models of Description of the Turbulent Flows | p. 187 |
Theoretical Methods of the Description of Turbulence | p. 187 |
Coherent Structures in the Turbulent Boundary Layer (see Khlopkov, Zharov, Gorelov205) | p. 194 |
The Description of Turbulence with the Help of a Model of the Three-Wave Resonance | p. 204 |
The Fluidical Model of the Description of Turbulence (Belotserkovskii, Yanitskii) | p. 208 |
Studies of the Turbulent Flow of Fluid and Gas | p. 211 |
Modeling of a Turbulent Transition within the Boundary Layer Using Monte Carlo Method (see Zharov, Tun Tun, Khlopkov223) | p. 211 |
Study of the Dissipation of Turbulent Spots (see Belotserkovskii, Yanitskii, Bukin12,221) | p. 218 |
Evolution of the Vertical System in the Rarefied Gas (see Rovenskaya, Voronich, Zharov222) | p. 219 |
The Possible Directions of Development of the Methods of Statistical Study | p. 228 |
Development of the Methods of Solution of Linear Problems | p. 228 |
Use of the Possibilities of the Model Equations | p. 232 |
Modeling of the Flows of Continuous Medium | p. 235 |
Modeling of the Turbulent Flows of Fluid and Gas | p. 240 |
Parallelization of the Statistical Algorithms (Bukin, Voronich, Shtarkin) | p. 245 |
Conclusions | p. 253 |
References | p. 257 |
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